Final answer:
A Pearson r value is a scale that ranges from -1 to +1 and indicates the strength and direction of a linear relationship. An r² value is a scale, often presented as a percentage, that represents how much of the variance in the dependent variable is explained by the independent variable in a linear model.
Step-by-step explanation:
A Pearson r value is a scale that measures the strength and direction of the linear relationship between two variables. Specifically, r can range from -1 to +1 where values close to -1 or +1 indicate a strong linear relationship, and an r value of 0 indicates no linear relationship.
On the other hand, an r² value, also known as the coefficient of determination, is a scale that represents the percentage of the variance in the dependent variable that is predictable from the independent variable. By squaring the Pearson r value, we obtain the r² value which lies between 0 and 1.
This value, often expressed as a percentage, indicates how much of the variation in the dependent variable can be explained by the model.
For example, if the Pearson correlation coefficient (r) is 0.6631, the r² value would be 0.6631² = 0.4397, which means that approximately 44% of the variation in the dependent variable can be explained by the independent variable using the linear model.